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Finding the Fourth Proportional to 143,863.02, 198,531.81 and 83,469.62

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Solution

The fourth proportional to 143,863.02, 198,531.81 and 83,469.62 is: 115,188.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,863.02 : 198,531.81 = 83,469.62 : x
  2. Step 2: Convert to fraction form
    143,863.02/198,531.81 = 83,469.62/x
  3. Step 3: Cross multiply
    143,863.02x = 198,531.81 × 83,469.62
  4. Step 4: Simplify right side
    143,863.02x = 16,571,373,745.95
  5. Step 5: Solve for x
    x = 16,571,373,745.95/143,863.02
  6. Step 6: Final answer
    x = 115,188.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.